For quasilinear equations div A(x, u, ∇u) = 0 with degeneracy ω(x) of the Muckenhoupt A p -class, we prove the Harnack inequality, an estimate for the Hölder norm, and a sufficient criterion for the regularity of boundary points of the Wiener type.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 7, pp. 918–936, July, 2008.
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Mamedov, F.I., Amanov, R.A. On some properties of solutions of quasilinear degenerate equations. Ukr Math J 60, 1073–1098 (2008). https://doi.org/10.1007/s11253-008-0108-6
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DOI: https://doi.org/10.1007/s11253-008-0108-6